(10%) Problem 7: In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a se

Question

(10%) Problem 7: In a mass spectrometer, a specific velocity can be selected from a distribution by injecting charged particles between a set of plates with a constant electric field between them and a magnetic field across them (perpendicular to the direction of particle travel). If the fields are tuned exactly right, only particles of a specific velocity will pass through this region undeflected. Consider such a velocity selector in a mass spectrometer with a 0.095 T magnetic field.

What electric field strength, in volts per meter, is needed to select a speed of 4.1 x 10^6 ms?

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Thu Giang 6 months 2021-07-29T20:55:43+00:00 1 Answers 8 views 0

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    2021-07-29T20:56:49+00:00

    Answer:

    The strength of electric field is 3.9 \times 10^{5} \frac{V}{m}

    Explanation:

    Given:

    Magnetic field B = 0.095 T

    Speed of particle v = 4.1 \times 10^{6} \frac{m}{s}

    Here we equate two forces

       F_{E} = F_{B}

       qE = qvB

        E = vB

    For finding electric field strength,

     E = 4.1 \times 10^{6} \times 0.095

     E = 3.9 \times 10^{} \frac{V}{m}

    Therefore, the strength of electric field is 3.9 \times 10^{5} \frac{V}{m}

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